Question

area of rhombus is 1800m sq . One of its digonal is 90cm. Find the length of other diganal​

Answer 1

Given:

• Area of Rhombus = 1800 m²
• One Diagonal = 90 cm ( 0.9m )

To Find:

• Length of other diagonal?

Formula Used:

$\\ \bigstar{\underline{\boxed{\sf{ \pink{Area_{(Rhombus)} } = \dfrac{1}{2} d_{1} d_{2} }}}}$

• d¹ = One diagonal
• d² = Other diagonal

Solution:

Rhombus is a type of Quadrilateral with parallel equal sides and with equal angles.

After substituting values,

$\implies$ a = ½ (d¹ × d²)

$\implies$ 1800 = ½ (0.9 × d²)

$\implies$ 1800 × 2/0.9 = d²

$\implies$ 4000 m = d²

Hence,

• The length of other diagonal of Rhombus is 4000 m.

$\bigstar{\underline{\tt\pink{ Formula \ related \ to \ Rhombus :- }}}$

$\\ \bullet \: \: \: {\sf\red{ Area_{(Rhombus)} = \dfrac{1}{2} d_{1} d_{2} }} \\ \\ \bullet \: \: \: {\sf\red{ Diagonal_{(1)} = \sqrt{ 4a^2 - d^2 } }} \\ \\ \bullet \: \: \: {\sf\purple{ Diagonal_{(2)} = \sqrt{ 4a^2 - d^2 } }}$